There are many Stones songs that I like... too numerous to mention actually, BUT... as far back as I can remember... The Beatles were far superior in my eyes.
They were polished.
They had more personality.
The four of them fit together so well and you couldn't even see where the seams were.
They were funnier- punnier. :)
They had more range musically.
They were better-looking, and they just fit well within what my heart and soul told me was good stuff.